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Finding the Fourth Proportional to 12,895.75, 17,803.90 and 8,426.98

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Solution

The fourth proportional to 12,895.75, 17,803.90 and 8,426.98 is: 11,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,895.75 : 17,803.90 = 8,426.98 : x
  2. Step 2: Convert to fraction form
    12,895.75/17,803.90 = 8,426.98/x
  3. Step 3: Cross multiply
    12,895.75x = 17,803.90 × 8,426.98
  4. Step 4: Simplify right side
    12,895.75x = 150,032,994.46
  5. Step 5: Solve for x
    x = 150,032,994.46/12,895.75
  6. Step 6: Final answer
    x = 11,634.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.